3 papers
eess.SP2025
Unscented and Higher-Order Linear Covariance Fidelity Checks and Measures of Non-Gaussianity
Jackson Kulik, Braden Hastings, Keith A. LeGrand
Linear covariance (LinCov) techniques have gained widespread traction in the modeling of uncertainty, including in the preliminary study of spacecraft navigation performance. While…
eess.SP2025
Higher-Order Tensor-Based Deferral of Gaussian Splitting for Orbit Uncertainty Propagation
G. Andrew Siciliano, Keith A. LeGrand, Jackson Kulik
Accurate propagation of orbital uncertainty is essential for a range of applications within space domain awareness. Adaptive Gaussian mixture-based approaches offer tractable nonli…
stat.ML2024
Nonlinearity and Uncertainty Informed Moment-Matching Gaussian Mixture Splitting
Jackson Kulik, Keith A. LeGrand
Many problems in navigation and tracking require increasingly accurate characterizations of the evolution of uncertainty in nonlinear systems. Nonlinear uncertainty propagation app…